Search a number
-
+
223003322112312 = 23337908871622773
BaseRepresentation
bin110010101101001000000001…
…110011000101100100111000
31002020120220112221111122001000
4302231020001303011210320
5213212141300430043222
62110142151211325000
764654313132153250
oct6255100163054470
91066526487448030
10223003322112312
11650681a5714225
1221017655450760
13975817a427831
143d0d5c006c960
151abac651389ac
hexcad201cc5938

223003322112312 has 128 divisors (see below), whose sum is σ = 707955279897600. Its totient is φ = 63714494588544.

The previous prime is 223003322112253. The next prime is 223003322112331. The reversal of 223003322112312 is 213211223300322.

223003322112312 is a `hidden beast` number, since 2 + 2 + 3 + 0 + 0 + 332 + 2 + 1 + 12 + 312 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 136609758 + ... + 138232530.

It is an arithmetic number, because the mean of its divisors is an integer number (5530900624200).

Almost surely, 2223003322112312 is an apocalyptic number.

It is an amenable number.

223003322112312 is an abundant number, since it is smaller than the sum of its proper divisors (484951957785288).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

223003322112312 is a wasteful number, since it uses less digits than its factorization.

223003322112312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1713682 (or 1713672 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 223003322112312 its reverse (213211223300322), we get a palindrome (436214545412634).

The spelling of 223003322112312 in words is "two hundred twenty-three trillion, three billion, three hundred twenty-two million, one hundred twelve thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1512 90887 181774 272661 363548 545322 636209 727096 817983 1090644 1272418 1622773 1635966 1908627 2181288 2453949 2544836 3245546 3271932 3817254 4868319 4907898 5089672 5725881 6491092 6543864 7634508 9736638 9815796 11359411 11451762 12982184 14604957 15269016 17177643 19473276 19631592 22718822 22903524 29209914 34078233 34355286 38946552 43814871 45437644 45807048 58419828 68156466 68710572 87629742 90875288 102234699 116839656 136312932 137421144 175259484 204469398 272625864 306704097 350518968 408938796 613408194 817877592 1226816388 2453632776 147488969651 294977939302 442466908953 589955878604 884933817906 1032422787557 1179911757208 1327400726859 1769867635812 2064845575114 2654801453718 3097268362671 3539735271624 3982202180577 4129691150228 5309602907436 6194536725342 7964404361154 8259382300456 9291805088013 10619205814872 12389073450684 15928808722308 18583610176026 24778146901368 27875415264039 31857617444616 37167220352052 55750830528078 74334440704104 111501661056156 223003322112312